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2409940 = 2251322331
BaseRepresentation
bin1001001100010111010100
311112102211001
421030113110
51104104230
6123353044
726325031
oct11142724
94472731
102409940
1113a6695
12982784
13664c00
1446a388
153290ca
hex24c5d4

2409940 has 72 divisors (see below), whose sum is σ = 5902848. Its totient is φ = 823680.

The previous prime is 2409907. The next prime is 2409947. The reversal of 2409940 is 499042.

It is a junction number, because it is equal to n+sod(n) for n = 2409899 and 2409908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2409947) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77725 + ... + 77755.

It is an arithmetic number, because the mean of its divisors is an integer number (81984).

22409940 is an apocalyptic number.

2409940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2409940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2951424).

2409940 is an abundant number, since it is smaller than the sum of its proper divisors (3492908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2409940 is a wasteful number, since it uses less digits than its factorization.

2409940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 2409940 is about 1552.3981448069. The cubic root of 2409940 is about 134.0711732987.

The spelling of 2409940 in words is "two million, four hundred nine thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 23 26 31 46 52 62 65 92 115 124 130 155 169 230 260 299 310 338 403 460 598 620 676 713 806 845 1196 1426 1495 1612 1690 2015 2852 2990 3380 3565 3887 4030 5239 5980 7130 7774 8060 9269 10478 14260 15548 18538 19435 20956 26195 37076 38870 46345 52390 77740 92690 104780 120497 185380 240994 481988 602485 1204970 2409940